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12533640420 = 2235726763629
BaseRepresentation
bin10111010110001000…
…00010110011100100
31012100111020220101110
423223010002303210
5201132102443140
65431411225020
7622411120500
oct135304026344
935314226343
1012533640420
115351a05614
1225195a8170
1312498978a2
1486c84d300
154d5531380
hex2eb102ce4

12533640420 has 144 divisors (see below), whose sum is σ = 41433819840. Its totient is φ = 2822029056.

The previous prime is 12533640409. The next prime is 12533640421. The reversal of 12533640420 is 2404633521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (12533640421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165166 + ... + 228794.

It is an arithmetic number, because the mean of its divisors is an integer number (287734860).

Almost surely, 212533640420 is an apocalyptic number.

12533640420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12533640420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20716909920).

12533640420 is an abundant number, since it is smaller than the sum of its proper divisors (28900179420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12533640420 is a wasteful number, since it uses less digits than its factorization.

12533640420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63722 (or 63713 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 12533640420 in words is "twelve billion, five hundred thirty-three million, six hundred forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 67 70 84 98 105 134 140 147 196 201 210 245 268 294 335 402 420 469 490 588 670 735 804 938 980 1005 1340 1407 1470 1876 2010 2345 2814 2940 3283 4020 4690 5628 6566 7035 9380 9849 13132 14070 16415 19698 28140 32830 39396 49245 63629 65660 98490 127258 190887 196980 254516 318145 381774 445403 636290 763548 890806 954435 1272580 1336209 1781612 1908870 2227015 2672418 3117821 3817740 4263143 4454030 5344836 6235642 6681045 8526286 8908060 9353463 12471284 12789429 13362090 15589105 17052572 18706926 21315715 25578858 26724180 29842001 31178210 37413852 42631430 46767315 51157716 59684002 62356420 63947145 85262860 89526003 93534630 119368004 127894290 149210005 179052006 187069260 208894007 255788580 298420010 358104012 417788014 447630015 596840020 626682021 835576028 895260030 1044470035 1253364042 1790520060 2088940070 2506728084 3133410105 4177880140 6266820210 12533640420